Algebra From A To Z

Explains algebra from basic concepts to college-level skills.

This book presents a thorough explanation of the notation of summation, some unusual material on inequalities, an extended treatment of mathematical induction, and basic probability theory (including the explanation that all gambling systems must fail). It also contains a complete treatment of vector algebra (including the dot and cross product). This is usually reserved for a calculus course, but is properly algebra, and so belongs in any algebra book.Since this book deals with algebra from A to Z, it starts at the beginning with the arithmetic of the counting numbers and their extensions, i.e. the negative numbers and the rational numbers. However, these very elementary items are treated from an advanced point of view. The teacher should assign the first three chapters as outside reading, using only one day per chapter for classroom discussion.The remaining chapters cover all of the usual topics in college algebra, but they contain many unusual items not found in the standard college algebra course. As an example, the circle notation for a composite function is now standard material, but this book explains just why that notation is needed.The book concludes with a presentation of the Peano Axioms. This advanced topic should be available to all mathematics students, whether they are first year algebra students or are working for a PhD degree.

This book presents a thorough explanation of the notation of summation, some unusual material on inequalities, an extended treatment of mathematical induction, and basic probability theory (including the explanation that all gambling systems must fail). It also contains a complete treatment of vector algebra (including the dot and cross product). This is usually reserved for a calculus course, but is properly algebra, and so belongs in any algebra book.Since this book deals with algebra from A to Z, it starts at the beginning with the arithmetic of the counting numbers and their extensions, i.e. the negative numbers and the rational numbers. However, these very elementary items are treated from an advanced point of view. The teacher should assign the first three chapters as outside reading, using only one day per chapter for classroom discussion.The remaining chapters cover all of the usual topics in college algebra, but they contain many unusual items not found in the standard college algebra course. As an example, the circle notation for a composite function is now standard material, but this book explains just why that notation is needed.The book concludes with a presentation of the Peano Axioms. This advanced topic should be available to all mathematics students, whether they are first year algebra students or are working for a PhD degree.

This book presents a thorough explanation of the notation of summation, some unusual material on inequalities, an extended treatment of mathematical induction, and basic probability theory (including the explanation that all gambling systems must fail). It also contains a complete treatment of vector algebra (including the dot and cross product). This is usually reserved for a calculus course, but is properly algebra, and so belongs in any algebra book.Since this book deals with algebra from A to Z, it starts at the beginning with the arithmetic of the counting numbers and their extensions, i.e. the negative numbers and the rational numbers. However, these very elementary items are treated from an advanced point of view. The teacher should assign the first three chapters as outside reading, using only one day per chapter for classroom discussion.The remaining chapters cover all of the usual topics in college algebra, but they contain many unusual items not found in the standard college algebra course. As an example, the circle notation for a composite function is now standard material, but this book explains just why that notation is needed.The book concludes with a presentation of the Peano Axioms. This advanced topic should be available to all mathematics students, whether they are first year algebra students or are working for a PhD degree.

Forget the jargon. Forget the anxiety. Just remember themath. In this age of cheap calculators and powerful spreadsheets, whoneeds to know math? The answer is: everyone. Math is all around us.We confront it shopping in the supermarket, paying our bills,checking the sports stats, and working at our jobs. It is also oneof the most fascinating-and useful-subjects. Mastering math canmake a difference in your career, your studies, and your dailylife. If you are among the millions of people who would love tounderstand math but are turned away by fear of its complexity, hereis your salvation. The A to Z of Mathematics makes math simplewithout making it simplistic. Both easy to use and easy to read,the book covers all the topics in basic mathematics. You'll learnthe definitions of such terms as "proportion"and "hexomino," andgrasp the concepts behind algebra, statistics, and other processes.The book's alphabetical arrangement helps you quickly home in onany topic, and its text is rich with stimulating examples,diagrams, and other illustrations that make the discussion crystalclear to every reader. Everyone will find something of interest inthis wide-ranging guide to mathematics. The perfect antidote to math anxiety, this is an invaluableresource for parents and students, home schoolers, teachers, andanyone else who wants to improve his or her math skills anddiscover the amazing relevance of mathematics to the world aroundus.

This book presents a thorough explanation of the notation of summation, some unusual material on inequalities, an extended treatment of mathematical induction, and basic probability theory (including the explanation that all gambling systems must fail). It also contains a complete treatment of vector algebra (including the dot and cross product). This is usually reserved for a calculus course, but is properly algebra, and so belongs in any algebra book.Since this book deals with algebra from A to Z, it starts at the beginning with the arithmetic of the counting numbers and their extensions, i.e. the negative numbers and the rational numbers. However, these very elementary items are treated from an advanced point of view. The teacher should assign the first three chapters as outside reading, using only one day per chapter for classroom discussion.The remaining chapters cover all of the usual topics in college algebra, but they contain many unusual items not found in the standard college algebra course. As an example, the circle notation for a composite function is now standard material, but this book explains just why that notation is needed.The book concludes with a presentation of the Peano Axioms. This advanced topic should be available to all mathematics students, whether they are first year algebra students or are working for a PhD degree.

This book presents a thorough explanation of the notation of summation, some unusual material on inequalities, an extended treatment of mathematical induction, and basic probability theory (including the explanation that all gambling systems must fail). It also contains a complete treatment of vector algebra (including the dot and cross product). This is usually reserved for a calculus course, but is properly algebra, and so belongs in any algebra book.Since this book deals with algebra from A to Z, it starts at the beginning with the arithmetic of the counting numbers and their extensions, i.e. the negative numbers and the rational numbers. However, these very elementary items are treated from an advanced point of view. The teacher should assign the first three chapters as outside reading, using only one day per chapter for classroom discussion.The remaining chapters cover all of the usual topics in college algebra, but they contain many unusual items not found in the standard college algebra course. As an example, the circle notation for a composite function is now standard material, but this book explains just why that notation is needed.The book concludes with a presentation of the Peano Axioms. This advanced topic should be available to all mathematics students, whether they are first year algebra students or are working for a PhD degree.